K Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement. 2² D={(xy-2) To + 27 + 16 =1} 16 18 F= (2-y.x.-x): D= Set up the volume integral for the Divergence Theorem. Select the correct choice below and fill in any answer boxes within your choice. OA. OB. OA OB. !!! SSS dx dy dz, where the integrand does not simplify to a constant Set up the surface integral for the Divergence Theorem, using a parametrization with the form r= (a sin u cos v,b sinu sin v.c cos u) for the surface if needed. Select the correct choice below and fill choice. The integral simplifies to V. D (Type an integer or a simplified fraction.) SS du dv, where the integrand does not simplify to a constant 0 0 The integral simplifies to ds. S (Type an integer or a simplified fraction.) 4 Evaluate both integrals and check for agreement. Select the correct choice below and fill in any answer boxes within your choice. (Type an exact answer, using x as needed.) OA. Both integrals evaluate to

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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13Please show the answer for each section clearly
K
Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement.
F= (2-y.x.-x): D=
D={(xx.2) TO + 27 + 16 =1}
16 18
Set up the volume integral for the Divergence Theorem. Select the correct choice below and fill in any answer boxes within your choice.
OA.
O B.
OA
OB.
!!!
SSS dx dy dz, where the integrand does not simplify to a constant
The integral simplifies to V.
Set up the surface integral for the Divergence Theorem, using a parametrization with the form r= (a sin u cos v, b sinu sin v.c cos u) for the surface if needed. Select the correct choice below and fill
choice.
D
(Type an integer or a simplified fraction.)
SS du dv, where the integrand does not simplify to a constant
0 0
The integral simplifies to .
dS.
S
(Type an integer or a simplified fraction.)
4
Evaluate both integrals and check for agreement. Select the correct choice below and fill in any answer boxes within your choice.
(Type an exact answer, using x as needed.)
OA. Both integrals evaluate to
Transcribed Image Text:K Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement. F= (2-y.x.-x): D= D={(xx.2) TO + 27 + 16 =1} 16 18 Set up the volume integral for the Divergence Theorem. Select the correct choice below and fill in any answer boxes within your choice. OA. O B. OA OB. !!! SSS dx dy dz, where the integrand does not simplify to a constant The integral simplifies to V. Set up the surface integral for the Divergence Theorem, using a parametrization with the form r= (a sin u cos v, b sinu sin v.c cos u) for the surface if needed. Select the correct choice below and fill choice. D (Type an integer or a simplified fraction.) SS du dv, where the integrand does not simplify to a constant 0 0 The integral simplifies to . dS. S (Type an integer or a simplified fraction.) 4 Evaluate both integrals and check for agreement. Select the correct choice below and fill in any answer boxes within your choice. (Type an exact answer, using x as needed.) OA. Both integrals evaluate to
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